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349315486677 = 3238812831853
BaseRepresentation
bin1010001010101001101…
…00110101001111010101
31020101122101201022121200
411011110310311033111
521210344231033202
6424250123103113
734144235434413
oct5052464651725
91211571638550
10349315486677
11125164538363
1257849071a99
1326c2bb22261
1412c9a9aa2b3
159146ddee1c
hex5154d353d5

349315486677 has 6 divisors (see below), whose sum is σ = 504566814102. Its totient is φ = 232876991112.

The previous prime is 349315486673. The next prime is 349315486697. The reversal of 349315486677 is 776684513943.

It is a happy number.

349315486677 is a `hidden beast` number, since 3 + 4 + 93 + 1 + 5 + 486 + 67 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 330405386481 + 18910100196 = 574809^2 + 137514^2 .

It is not a de Polignac number, because 349315486677 - 22 = 349315486673 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349315486673) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19406415918 + ... + 19406415935.

It is an arithmetic number, because the mean of its divisors is an integer number (84094469017).

Almost surely, 2349315486677 is an apocalyptic number.

It is an amenable number.

349315486677 is a deficient number, since it is larger than the sum of its proper divisors (155251327425).

349315486677 is a wasteful number, since it uses less digits than its factorization.

349315486677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38812831859 (or 38812831856 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 349315486677 in words is "three hundred forty-nine billion, three hundred fifteen million, four hundred eighty-six thousand, six hundred seventy-seven".

Divisors: 1 3 9 38812831853 116438495559 349315486677